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Finding the Third Proportional to 507,962.81 and 691,869.09

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Solution

The third proportional to 507,962.81 and 691,869.09 is: 942,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,962.81 : 691,869.09 = 691,869.09 : x
  2. Step 2: Convert to fraction form
    507,962.81/691,869.09 = 691,869.09/x
  3. Step 3: Cross multiply
    507,962.81x = 691,869.09 × 691,869.09
  4. Step 4: Simplify right side
    507,962.81x = 478,682,842,886.45
  5. Step 5: Solve for x
    x = 478,682,842,886.45/507,962.81
  6. Step 6: Final answer
    x = 942,358.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.